Fig. 4From: Zero-augmented beta-prime model for multilevel semi-continuous data: a Bayesian inferencePE-2018 data. (Above panel) predictive density histogram from pharmaceutical expenditure placed with posterior predictive densities generated using ZABP-RE regression models. (Below panel) adequacy of log link function linear predictor: conditional predictive posterior nonzero mean represented by black boxplots and nonzero observed values by gray boxplotBack to article page